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Showing 2007 · math.ACShow all
3 papers · 2 filters
math.AC2007
Free resolutions over short local rings
Luchezar L. Avramov, Srikanth B. Iyengar, Liana M. Sega
The structure of minimal free resolutions of finite modules M over commutative local rings (R,m,k) with m^3=0 and rank_k(m^2) < rank_k(m/m^2)is studied. It is proved that over gene…
math.AC2007
A New Proof of the New Intersection Theorem
Greg Piepmeyer, Mark E. Walker
In 1987 Roberts completed the proof of the New Intersection Theorem (NIT) by settling the mixed characteristic case using local Chern characters, as developed by Fulton and also by…
math.AC2007★ 2 cited
Finite Gorenstein representation type implies simple singularity
Lars Winther Christensen, Greg Piepmeyer, Janet Striuli +1
Let R be a commutative noetherian local ring and consider the set of isomorphism classes of indecomposable totally reflexive R-modules. We prove that if this set is finite, then ei…